WOLFRAM SYSTEM MODELER
CompareLineTrunksCompares oLine and tLine splitting lines into trunks |
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SystemModel["Modelica.Electrical.Analog.Examples.Lines.CompareLineTrunks"]

This information is part of the Modelica Standard Library maintained by the Modelica Association.
This example shows a way to look at the traveling wave moving along a power line.
This wave can be seen looking at intermediate points of the line, looking at both OLine (several segments per line trunk) and TLine models.
OLine in the lossless case is less accurate, since shows oscillations that are not present in a distributed parameter line but, since it allows the addition of resistances and conductances, allows evaluation of losses.
Suggested tests:
Run the model as it is. Since resistances and conductances are very small in OLine, the simulation is substantially lossless.
Show in the same plot ramp.y, oLine1.p2.v, oLine2.p2.v, oLine3.p2.v, oLine4.p2.v.
Show in another plot, simultaneously, ramp.y, tLine1.p2.v, tLine2.p2.v, tLine3.p2.v, tLine4.p2.v. Here oLine shows unreal oscillations, which, however, reduce if the number of segments per trunk increases.
Try increasing this number from 7 to 50 using parameter segsPerTrunk, and look at the same plots as per test 1
Leave segsPerTrunk=50, change r1 to 1e-3 Ω, re-simulate: the effect of losses is visible only on the oLine plot.
| Rload |
Value: 1000 Type: Resistance (Ω) Description: Load resistance |
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| r1 |
Value: 1e-6 Type: Real (Ω/m) Description: Resistance per meter |
| g1 |
Value: 1e-12 Type: Real (S/m) Description: Conductance per meter |
| l1 |
Value: 1e-6 Type: Real (H/m) Description: Inductance per meter |
| c1 |
Value: 1e-11 Type: Real (F/m) Description: Capacitance per meter |
| len |
Value: 100e3 Type: Length (m) Description: Length of line |
| segsPerTrunk |
Value: 7 Type: Integer Description: Segments per trunk |
| c |
Value: 1 / sqrt(l1 * c1) Type: Velocity (m/s) Description: Speed of EM wave |
| td |
Value: len / c / 4 Type: Time (s) Description: Transmission delay |
| z0 |
Value: sqrt(l1 / c1) Type: Impedance (Ω) Description: Characteristic impedance for very high frequency |
| ramp |
Type: Ramp Description: Generate ramp signal |
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| srcLump |
Type: SignalVoltage Description: Generic voltage source using the input signal as source voltage |
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| ground1 |
Type: Ground Description: Ground node |
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| oLine1 |
Type: OLine Description: Lossy Transmission Line |
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| oLine2 |
Type: OLine Description: Lossy Transmission Line |
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| oLine3 |
Type: OLine Description: Lossy Transmission Line |
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| oLine4 |
Type: OLine Description: Lossy Transmission Line |
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| R1 |
Type: Resistor Description: Ideal linear electrical resistor |
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| srcDistr |
Type: SignalVoltage Description: Generic voltage source using the input signal as source voltage |
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| ground2 |
Type: Ground Description: Ground node |
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| tLine1 |
Type: TLine Description: Lossless transmission line with characteristic impedance Z0 and transmission delay TD |
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| tLine2 |
Type: TLine Description: Lossless transmission line with characteristic impedance Z0 and transmission delay TD |
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| tLine3 |
Type: TLine Description: Lossless transmission line with characteristic impedance Z0 and transmission delay TD |
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| tLine4 |
Type: TLine Description: Lossless transmission line with characteristic impedance Z0 and transmission delay TD |
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| R2 |
Type: Resistor Description: Ideal linear electrical resistor |